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Finding the Fourth Proportional to 357.82, 536.90 and 175.37

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Solution

The fourth proportional to 357.82, 536.90 and 175.37 is: 263.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.82 : 536.90 = 175.37 : x
  2. Step 2: Convert to fraction form
    357.82/536.90 = 175.37/x
  3. Step 3: Cross multiply
    357.82x = 536.90 × 175.37
  4. Step 4: Simplify right side
    357.82x = 94,152.59
  5. Step 5: Solve for x
    x = 94,152.59/357.82
  6. Step 6: Final answer
    x = 263.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.